# Question: A single observation of a random variable having an exponential

A single observation of a random variable having an exponential distribution is used to test the null hypothesis that the mean of the distribution is θ = 2 against the alternative that it is θ = 5. If the null hypothesis is accepted if and only if the observed value of the random variable is less than 3, find the probabilities of type I and type II errors.

## Answer to relevant Questions

Let X1 and X2 constitute a random sample from a normal population with σ2 = 1. If the null hypothesis µ = µ0 is to be rejected in favor of the alternative hypothesis µ = µ1 > µ0 when > µ0 + 1, what is the size of ...For k = 2, show that the θ2 formula on page 369 can be written as If the analysis of a contingency table shows that there is a relationship between the two variables under consideration, the strength of this relationship may be measured by means of the contingency coefficient Where x2 is ...The security department of a factory wants to know whether the true average time required by the night guard to walk his round is 30 minutes. If, in a random sample of 32 rounds, the night guard averaged 30.8 minutes with a ...Rework Exercise 13.36, basing the decision on the P-value corresponding to the observed value of the test statistic. In exercise A study of the number of business lunches that executives in the insurance and banking ...Post your question